Atkin-Lehner |
2- 3- 5- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
13530x |
Isogeny class |
Conductor |
13530 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
285753600 = 28 · 32 · 52 · 112 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-23260,1363472] |
[a1,a2,a3,a4,a6] |
j |
1391726863715912641/285753600 |
j-invariant |
L |
5.4898104847398 |
L(r)(E,1)/r! |
Ω |
1.372452621185 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
108240ba1 40590e1 67650k1 |
Quadratic twists by: -4 -3 5 |